Which of the following is the solution to the following system of inequalities? let the green region represent the solution set. x+2y< =4 3x-y> 2

The given inequalities are

x+2y≤4, 3x-y>2

To plot the graph first convert it into slope intercept form in two coordinate system i.e To convert equation of the type Ax + By= C in Slope intercept form

x/C÷A + y/C÷B =1

So,the equation becomes

x/4 + y/2≤ 1,

x/2÷3 + y/-2>1,

We have to also consider x>0 and y>0.

Now The shaded area in green is shown in the graph.

x=8/7 and y=20/7 is the point of intersection of lines

A triangular region is formed having vertices (0,0) (4,0) and (8/7,20/7) is the required solution.

step-by-step explanation:

ok so im not 100% sure but you would start by adding 5.1t and 1.9t beacuse they have the same variable. that is 7t.   then add -3.6 + 1.2 which is -2.4

so then keep that as -2.4 + 7t. i apologize if this is incorrect. best luck on your test < 3